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9.3.6—R = ρL / A

Syllabus
9702–2028–2029
Objective
9.3.6
Level
AS

For a uniform conductor, resistance is R=ρL/A

The resistance of a uniform conductor is R=ρL/A, where ρ is resistivity, L length and A cross-sectional area.

Use the conductor’s material through ρ, and account for geometry: longer wires resist more; thicker wires resist less.

Doubling a wire’s length doubles R, while doubling its diameter quarters R because area scales with diameter squared.

Resistivity is a material property, not the same as the resistance of one particular wire.

ConceptA-Level CAIE Physics AS